165193233408 has 1408 divisors, whose sum is σ = 645188198400. Its totient is φ = 40641232896.

The previous prime is 165193233379. The next prime is 165193233421. The reversal of 165193233408 is 804332391561.

165193233408 is a `hidden beast` number, since 1 + 6 + 5 + 1 + 9 + 3 + 233 + 408 = 666.

165193233408 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2799885283 + ... + 2799885341.

Almost surely, 2^165193233408 is an apocalyptic number.

165193233408 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165193233408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322594099200).

165193233408 is an abundant number, since it is smaller than the sum of its proper divisors (479994964992).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

165193233408 is a wasteful number, since it uses less digits than its factorization.

165193233408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 165193233408 in words is "one hundred sixty-five billion, one hundred ninety-three million, two hundred thirty-three thousand, four hundred eight".